41160400 has 60 divisors (see below), whose sum is σ = 104722092. Its totient is φ = 15493120.

The previous prime is 41160397. The next prime is 41160401. The reversal of 41160400 is 406114.

41160400 = 74² + 75² + ... + 498².

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2521744 + 38638656 = 1588^2 + 6216^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41160401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3774 + ... + 9826.

Almost surely, 2^41160400 is an apocalyptic number.

41160400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52361046).

41160400 is an abundant number, since it is smaller than the sum of its proper divisors (63561692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41160400 is a wasteful number, since it uses less digits than its factorization.

41160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6088 (or 6077 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 41160400 is about 6415.6371468468. The cubic root of 41160400 is about 345.2708088662.

Adding to 41160400 its reverse (406114), we get a palindrome (41566514).

The spelling of 41160400 in words is "forty-one million, one hundred sixty thousand, four hundred".